OA-Generate+&+Analyze+Patterns

4.OA.5. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way. || ===‍‍‍‍‍‍Anchor Standard/Mathematical Practice(s) === MP.2. Reason abstractly and quantitatively. MP.4. Model with mathematics. MP.5. Use appropriate tools strategically. MP.6. Attend to precision MP.7. Look for and make use of structure. MP. 8. Look for and express regularity in repeated reasoning. || Use technology tools and skills to reinforce classroom concepts and activities. || ===‍‍‍‍‍‍Revised Bloom's Level of thinking === Applying Understanding Remembering || ===‍‍‍‍‍‍Learning Target/Task Analysis === Patterns involving numbers or symbols either repeat or grow. Students need multiple opportunities creating and extending number and shape patterns. Numerical patterns allow students to reinforce facts and develop fluency with operations.
 * ===Common Core Standard ===
 * ===<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Information Technology Standard ===

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Patterns and rules are related. A pattern is a sequence that repeats the same process over and over. A rule dictates what that process will look like. Students investigate different patterns to find rules, identify features in the patterns, and justify the reason for those features.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍I can...
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">I can generate a shape pattern. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">I can generate a number pattern. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">I can identify the rule in a shape pattern. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">I can identify the rule in a number pattern.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Essential Vocabulary:
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">number pattern, shape pattern, rule

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Sample Assessments
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Create 5 to 10 number and/or shape patterns. Students will write a rule that corresponds with each pattern <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">.

A chicken laid 3 eggs on Wednesday, 6 eggs on Thursday, 12 eggs on Friday, 24 eggs on Saturday, and 48 eggs on Sunday. If this pattern continues, how many eggs will the chicken lay on Monday and on Tuesday? What is the rule demonstrated by this pattern?

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Intervention:
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">http://daretodifferentiate.wikispaces.com/Choice+Boards <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Post words with visuals on word wall and in vocabulary notebooks.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Choice Boards

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Visual/Kinesthetic learners

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Use balance scales to see how many of one object it takes to balance another object. EX—how many blue squares are equal to large green triangles. Use various manipulatives to find what is equally balanced. This could be done using all types of objects, counters, etc.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Use toothpicks and mini marshmallows to explore patterns of shapes. Make one square, note that it takes four toothpicks, connect second square to first and not how many toothpicks have been used. Continue to explore pattern.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Math 24 game

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Choice Boards

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Input/Output Tables

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Enrichment:
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Give several number sentences (X is more than 5, Y+5=X, triangle is 2 less than square) and have students write a story adding pictures that represent their story. They must give each symbol a value in the story.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Teacher created graffiti charts with algebra problems <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">(ex--Nx4+2) <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Have children circulate to different charts to solve for missing #

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Journal Entry <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Students could write explaining what life would be like without numbers.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Shopping Menu ChallengeGive students restaurant menus and tell them they must order lunch for a family of four and tell them they must order 1 appetizer, 4 entrees, and 4 drinks.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Instructional Resources
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">enVisions math <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Investigations <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">http://www.gamequarium.com/algebra.htm

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">http://illuminations.nctm.org

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">http://mathsnet.net/algebra/index.html

===<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Notes and Additional Information ===